Slope Intercept: Word Problems

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change or how much y changes for a unit change in x.

Front

If Bob saves $40 per month, what does this represent in the equation y = 40x + 150?

Back

The $40 represents the slope (m) of the line, indicating the rate at which Bob's savings increase.

Front

In the equation y = -2x + 40, what does the -2 represent?

Back

The -2 represents the slope, indicating that Sonya's lunch account decreases by $2 each day.

Front

What is the y-intercept in the equation y = 4x - 10?

Back

The y-intercept is -10, which is the value of y when x = 0.

Front

How do you find the total amount of money left after spending?

Back

You can use the equation y = initial amount - (cost per item * number of items).

Front

Back

Front

If you have $20 and the admission to the fair is $5, how much do you have left for rides?

Back

You have $15 left for rides after paying the admission.

Front

How many rides can you go on if each ride costs $0.50?

Back

You can go on 30 rides with $15 left for rides.

Front

What does the term 'y-intercept' mean?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.